TSTP Solution File: GEO124-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 11:14:08 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   49 (  14 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   58 (  31   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f277,plain,
    $false,
    inference(trivial_inequality_removal,[],[f276]) ).

fof(f276,plain,
    sk26 != sk26,
    inference(superposition,[],[f99,f264]) ).

fof(f264,plain,
    sk26 = sk27,
    inference(resolution,[],[f262,f97]) ).

fof(f97,axiom,
    start_point(sk26,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_133) ).

fof(f262,plain,
    ( ~ start_point(sk26,sk25)
    | sk26 = sk27 ),
    inference(resolution,[],[f257,f61]) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( incident_o(X0,X1)
      | ~ start_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_7) ).

fof(f257,plain,
    ( ~ incident_o(sk26,sk25)
    | sk26 = sk27 ),
    inference(resolution,[],[f256,f98]) ).

fof(f98,axiom,
    start_point(sk27,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_134) ).

fof(f256,plain,
    ( ~ start_point(sk27,sk25)
    | sk26 = sk27
    | ~ incident_o(sk26,sk25) ),
    inference(resolution,[],[f248,f61]) ).

fof(f248,plain,
    ( ~ incident_o(sk27,sk25)
    | ~ incident_o(sk26,sk25)
    | sk26 = sk27 ),
    inference(resolution,[],[f239,f98]) ).

fof(f239,plain,
    ! [X0] :
      ( ~ start_point(X0,sk25)
      | ~ incident_o(X0,sk25)
      | ~ incident_o(sk26,sk25)
      | sk26 = X0 ),
    inference(duplicate_literal_removal,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( sk26 = X0
      | ~ incident_o(X0,sk25)
      | ~ incident_o(sk26,sk25)
      | sk26 = X0
      | ~ start_point(X0,sk25) ),
    inference(resolution,[],[f233,f62]) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( ordered_by(X1,X0,X2)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ~ start_point(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn_8) ).

fof(f233,plain,
    ! [X0] :
      ( ~ ordered_by(sk25,X0,sk26)
      | sk26 = X0
      | ~ incident_o(X0,sk25) ),
    inference(resolution,[],[f226,f97]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( ~ start_point(X1,X0)
      | ~ incident_o(X2,X0)
      | X1 = X2
      | ~ ordered_by(X0,X2,X1) ),
    inference(resolution,[],[f223,f62]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | ~ ordered_by(X0,X2,X1) ),
    inference(resolution,[],[f221,f60]) ).

fof(f60,axiom,
    ! [X2,X3,X0,X1] :
      ( between_o(X0,X3,X2,X1)
      | ~ ordered_by(X0,X2,X3)
      | ~ ordered_by(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_6) ).

fof(f221,plain,
    ! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
    inference(resolution,[],[f78,f100]) ).

fof(f100,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f49]) ).

fof(f49,axiom,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_1) ).

fof(f78,axiom,
    ! [X2,X3,X0,X1] :
      ( between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3)
      | ~ between_o(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_24) ).

fof(f99,axiom,
    sk26 != sk27,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_1_135) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO124-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 05:37:03 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (1592)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (1595)WARNING: value z3 for option sas not known
% 0.15/0.38  % (1596)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (1593)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (1594)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (1595)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (1597)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (1598)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (1599)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  % (1598)First to succeed.
% 0.15/0.39  % (1598)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (1598)------------------------------
% 0.15/0.39  % (1598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (1598)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (1598)Memory used [KB]: 1095
% 0.15/0.39  % (1598)Time elapsed: 0.012 s
% 0.15/0.39  % (1598)Instructions burned: 17 (million)
% 0.15/0.39  % (1598)------------------------------
% 0.15/0.39  % (1598)------------------------------
% 0.15/0.39  % (1592)Success in time 0.018 s
%------------------------------------------------------------------------------